Posted by **ally** on Wednesday, September 28, 2011 at 11:46pm.

Four marbles are drawn at random from a bag containing 7 black marbles and 10 red marbles. Determine the number of outcomes in the sample space of this experiment if the marbles are drawn without replacement.

- algebra -
**Reiny**, Thursday, September 29, 2011 at 12:52am
All black --- 1

3black, 1red = 4!/(3!1!) = 4

2black, 2red = 4!(2!2!) = 6

1 black, 3red = 4

all red = 1

BBBB

BBBR

BBRB

BRBB

RBBB

BBRR

RRBB

BRBR

RBRB

BRRB

RBBR

RRRB

RRBR

RBRR

BRRR

RRRR

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